Winter 2013 Math 085 Exam 3 (Final) Chapter 9 Prep v01 Dressler - No Book/No Notes/Yes Calculator. Name. 6) 49 y2 = 9

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1 Winter 2013 Math 08 Eam 3 (Final) Chapter 9 Prep v01 Dressler - No Book/No Notes/Yes Calculator Name 6) 49 2 = 9 Solve the quadratic equation b the square root propert. If possible, simplif radicals or rationalize denominators. 1) 13z2-11 = 0 7) 3z2 - = 0 2) 3z2-7 = 0 8) 2z2-11 = 0 3) 72 = 36 9) 42 = 60 4) ( + 2)2 = 24 ) (3 + 4)2 = ) ( + 9)2 = 28 1

2 Solve the equation b the method of our choice. Simplif irrational solutions, if possible. 11) r r = 0 Solve the quadratic equation using the quadratic formula. 17) 62 = 7-18) 82 = ) = 0 19) = 0 13) r 2-2 r + 2 = 0 20) 2 = ) (3 + 2)2 = 21) 2-16 = -32 1) (4 + )2 = 7 22) 72 = ) 2 + = 0 2

3 Determine if the parabola whose equation is given opens upward or downward. 23) = Find the verte for the parabola whose equation is given. 29) = ) = ) = ) = ) = ) = ) = ) = ) = ) = ) = -( + 1)

4 Graph the parabola whose equation is given. 3) = ) = ) = ) =

5 Use the coordinates of the verte to solve the problem. Round our answer to the nearest tenth, if necessar. 39) The profit that the vendor makes per da b selling pretzels is given b the function P() = Find the number of pretzels that must be sold to maimize profit. 43) An arrow is fired into the air with an initial velocit of 160 feet per second. The formula = models the arrowʹs height above the ground,, in feet, seconds after it was shot into the air. When does the arrow reach its maimum height? What is that height? 40) The cost, in millions of dollars, for a compan to manufacture thousand automobiles is given b the function C() = Find the number of automobiles that must be produced to minimize cost. 44) An arrow is fired into the air with an initial velocit of 96 feet per second. The formula = models the arrowʹs height above the ground,, in feet, seconds after it was shot into the air. When does the arrow reach its maimum height? What is that height? 41) The profit that the vendor makes per da b selling pretzels is given b the function P() = Find the number of pretzels that must be sold to maimize profit. 4) The profit that the vendor makes per da b selling pretzels is given b the function P() = Find the number of pretzels that must be sold to maimize profit. 42) The cost, in millions of dollars, for a compan to manufacture thousand automobiles is given b the function C() = Find the number of automobiles that must be produced to minimize cost. 46) The cost, in millions of dollars, for a compan to manufacture thousand automobiles is given b the function C() = Find the number of automobiles that must be produced to minimize cost.

6 Give the domain and range for the relation. 47) {(, 0), (, 0), (9, 0), (-6, 0)} Decide whether the relation is a function. 3) {(-8, -8), (-8, 8), (1, -8), (3, -2), (9, -7)} 48) {(2, 4), (7, -1), (-6, ), (6, -4), (11, -3)} 4) {(2, -8), (2, 3), (4, -2), (7, -8), (12, 9)} 49) {(-1, ), (-1, -9), (-3, 9), (-6, 2), (12, -7)} ) {(-9, 6), (-9, 4), (1, -4), (4, 6), (7, 7)} 0) {(7, -1), (9, -7), (-3, -3), (-3, )} 6) {(-, 9), (-3, 4), (4, 1), (4, 7)} 1) {(8, 8), (-, -3), (3, 9), (-1, -7)} 7) {(-4, 2), (-2, 1), (4, ), (8, -)} 2) {(-4, 0), (7, 0), (11, 0), (-2, 0)} 8) {(-2, -9), (3, -6), (4, 9), (9, 8), (11, 1)} 6

7 Evaluate the function at the given value. 9) f(t) = t ; f(11) 6) h() = -3; h(8) 60) f() = ; f(-3) 66) g() = -11; g(-2) 61) f() = - - 3; f(-2) 67) f() = 2 + 3; f(-8) 62) f() = 9-17; f(0) 68) f(t) = t ; f(11) 63) f() = ; f(-2) 69) f(r) = r r ; f(-11) 64) h() = - 8 ; h(11) 70) f(r) = 3r 3r ; f(-4) 7

8 Use the vertical line test on the graph to determine if is a function of. 71) 73) 72) 74) 8

9 7) 77) 78) 76) 79) 9

10 80) 83) A rocket is 24 feet from a satellite when it begins accelerating awa from the satellite at a constant rate of feet per second per second. The distance, in feet, between the rocket and the satellite is given b the polnomial P(t) = t2 + 24, where t is the number of seconds since the rocket started accelerating. Find and interpret P(3). 84) The function W(g) = 0.62g2-0.03g models the average weight in ounces for a mouse who is fed g grams of a special food per da. Use the function to find and interpret W( 20). Solve. 81) The monthl cost of a certain long distance service is given b the linear function C(t) = 0.0t + 7.9, where C(t) is in dollars and t is the amount of minutes used in a month. Find and interpret C(180). 82) The polnomial P() = models the relationship between the number of pretzels that a certain vendor sells and the profit the vendor makes. Find and interpret P(00).

11 Answer Ke Testname: EXAM2_ _ _PREPV01 1) ± 2) ± ) ± ) {-2 ± 2 6} ) {-9 ± 2 7} 6) ± 3 7 7) ± 8) ± ) {± 1} ) -4 ± 3 11) {6} 12) {-3, 0} 13) {2} 14) 1) -2 ± 3 - ± ) {-, 0} 17) 7 ± i ) 19) -9 ± i ± i ) { ± i 11} 21) {8 ± 12i 2} 22) -9 ± i ) Downward 24) Upward 2) Downward 26) Upward 27) Downward 28) Downward 29) (2, 4) 30) (-, 23) 11

12 Answer Ke Testname: EXAM2_ _ _PREPV ) 2, ) (-3, -19) 33) 4, ) (- 1, 9) 3) ) )

13 Answer Ke Testname: EXAM2_ _ _PREPV01 38) ) 30 pretzels 40) thousand automobiles 41) 300 pretzels 42) thousand automobiles 43) seconds; 400 feet 44) 3 seconds; 144 feet 4) 400 pretzels 46) 2 thousand automobiles 47) Domain: {9, -6,, }; range: {0} 48) Domain: {2, 11, 7, -6, 6}; range: {4, -3, -1,, -4} 49) Domain: {12, -6, -1, -3}; range: {-7, 2, -9, 9, } 0) Domain: {-3, 9, 7}; range: {-3, -7, -1, } 1) Domain: {8, -, 3, -1}; range: {8, -3, 9, -7} 2) Domain: {-4, -2, 11, 7}; range: {0} 3) Not a function 4) Not a function ) Not a function 6) Not a function 7) Function 8) Function 9) 14 60) 22 61) 7 62) ) 3 64) 3 6) -3 66) 22 67) 40 68) 14 69) -1 70) -1 71) Not a function 72) Function 73) Function 74) Not a function 7) Function 13

14 Answer Ke Testname: EXAM2_ _ _PREPV01 76) Function 77) Function 78) Not a function 79) Function 80) Not a function 81) 16.9; it costs $16.9 to use 180 minutes of a certain long distance service in a month. 82) 37; $37 is the profit the vendor makes from selling 00 pretzels. 83) 69; after 3 seconds, the distance between the rocket and the satellite is 69 feet. 84) 2.1; when a mouse is fed 20 grams of the special food per da, its average weight is 2.1 ounces. 14